-4(2y-3)-y=-2(y-3)

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Solution for -4(2y-3)-y=-2(y-3) equation:


Simplifying
-4(2y + -3) + -1y = -2(y + -3)

Reorder the terms:
-4(-3 + 2y) + -1y = -2(y + -3)
(-3 * -4 + 2y * -4) + -1y = -2(y + -3)
(12 + -8y) + -1y = -2(y + -3)

Combine like terms: -8y + -1y = -9y
12 + -9y = -2(y + -3)

Reorder the terms:
12 + -9y = -2(-3 + y)
12 + -9y = (-3 * -2 + y * -2)
12 + -9y = (6 + -2y)

Solving
12 + -9y = 6 + -2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '2y' to each side of the equation.
12 + -9y + 2y = 6 + -2y + 2y

Combine like terms: -9y + 2y = -7y
12 + -7y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
12 + -7y = 6 + 0
12 + -7y = 6

Add '-12' to each side of the equation.
12 + -12 + -7y = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -7y = 6 + -12
-7y = 6 + -12

Combine like terms: 6 + -12 = -6
-7y = -6

Divide each side by '-7'.
y = 0.8571428571

Simplifying
y = 0.8571428571

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